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Reseach Article

Euler and Quaternion Parameterization in VTOL UAV Dynamics with Test Model Efficiency

by Redouane Dargham, Adil Sayouti, Hicham Medromi
International Journal of Applied Information Systems
Foundation of Computer Science (FCS), NY, USA
Volume 9 - Number 8
Year of Publication: 2015
Authors: Redouane Dargham, Adil Sayouti, Hicham Medromi
10.5120/ijais2015451447

Redouane Dargham, Adil Sayouti, Hicham Medromi . Euler and Quaternion Parameterization in VTOL UAV Dynamics with Test Model Efficiency. International Journal of Applied Information Systems. 9, 8 ( October 2015), 25-28. DOI=10.5120/ijais2015451447

@article{ 10.5120/ijais2015451447,
author = { Redouane Dargham, Adil Sayouti, Hicham Medromi },
title = { Euler and Quaternion Parameterization in VTOL UAV Dynamics with Test Model Efficiency },
journal = { International Journal of Applied Information Systems },
issue_date = { October 2015 },
volume = { 9 },
number = { 8 },
month = { October },
year = { 2015 },
issn = { 2249-0868 },
pages = { 25-28 },
numpages = {9},
url = { https://www.ijais.org/archives/volume9/number8/826-2015451447/ },
doi = { 10.5120/ijais2015451447 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-07-05T19:00:40.790985+05:30
%A Redouane Dargham
%A Adil Sayouti
%A Hicham Medromi
%T Euler and Quaternion Parameterization in VTOL UAV Dynamics with Test Model Efficiency
%J International Journal of Applied Information Systems
%@ 2249-0868
%V 9
%N 8
%P 25-28
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The Vetical Take Off And Landing Unmanned Aerial Vehicle ( VTOL UAV) has seen unprecedented levels of growth over the past 20 years with military applications dominating the field and the civilian applications tending to follow. Further, the use of UAVs has become a favored solution for important tasks requiring air operations as aerial photography, surveillance, inspection, search and rescue or mapping .For these applications to emerge, motion control algorithms that guarantee a good amount of stability and robustness against state measurement/estimation errors are needed. This paper describes: The dynamical equation of rigid bodies can be gathered from the classical Newton-Euler differential equations, which commonly make use of the Euler angles parametrization and its limits after the description of motion in terms of quaternions formulation instead of the Euler one and its benifits. This kind of analysis, proved by some numerical results presented, has a great importance due to the applicability of quaternion to drone control. An illustration of this study will be given in an application of control of an autonomous hexacopter developed by the team architecture of systems, in the national engineering school of electricity and mechanic in Casablanca in Morocco.

References
  1. M.-D. Hua, G. Ducard, T. Hamel (CRNS),R. Mahony (ANU, Journal Aerospace Lab Issue 8 -December 2014 - Introduction to Nonlinear Attitude Estimation for Aerial Robotic Systems.
  2. Mostafa Moussid , Adil Sayouti, Hicham Medromi, International Journal of Applied Information Systems (IJAIS) Foundation of Computer Science FCS, New York, USA Volume 9 – No.5, August 2015.
  3. R. F. Stengel, Flight Dynaimcs, Princeton University Press, 2004.
  4. B. PALAIS, R. PALAIS - Euler's Fixed Point Theorem: The Axis of a Rotation. Journal of Fixed Point Theory and Applications, 2:215-220, 2007.
  5. K. Großekatth¨ofer, Z. Yoon, Introduction into quaternions for spacecraft attitude representation, TU Berlin,2012.
  6. A. P. Yefremov (2004) Quaternions: Algebra, Geometry and Physical Theories, Hypercomplex Numbers in Geometry and Physics 1.
  7. Vectors James Diebel Stanford University Stanford, California 20 October 2006, Representing Attitude: Euler Angles, Unit Quaternions, and Rotation.
  8. V. Artale, C.L.R. Milazzo, A. Ricciardello “Mathematical Modeling of Hexacopter”, Applied Mathematical Sciences, Vol. 7, no. 97, 4805 - 4811 (2013).
  9. Valeria Artale, Cristina L.R. Milazzo, Angela Ricciardello,2nd International Conference on Mathematical Modeling in Physical Sciences ,Journal of Physics: Conference Series 490 (2014) An example of quaternion parameterization for dynamical simulations.
  10. A. Alaimo, V. Artale, C. Milazzo and A. Ricciardello Comparison between Euler and Quaternion parametrization in UAV dynamics Faculty of Engineering and Architecture,Cittadella Universitaria, 94100 Enna, Italy ,october 2013.
Index Terms

Computer Science
Information Sciences

Keywords

Vertical Take Off And Landing Unmanned Aerial Vehicle (VTOL UAV) motion control Newton-Euler equations Quaternion Hexacopter